"Wherefore seeing we also are compassed about with so great a cloud of witnesses, let us lay aside every weight, and the sin which doth so easily beset us, and let us run with patience the race that is set before us,"
Both passages discuss the idea of removing hindrances or 'weights' to be prepared for a challenging time. The EGW passage speaks of removing 'clogs' before the time of trouble, while Hebrews 12:1 speaks of laying aside every weight and sin before running the race.